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Metastability of Glauber Dynamics with Inhomogeneous Coupling Disorder

Offered By: Centre International de Rencontres Mathématiques via YouTube

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Statistical Mechanics Courses Ising Model Courses Concentration Inequalities Courses

Course Description

Overview

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Explore a 34-minute conference talk on the metastability of Glauber dynamics with inhomogeneous coupling disorder. Delve into a general class of mean-field-like spin systems with random couplings, encompassing both the Ising model on inhomogeneous dense random graphs and the randomly diluted Hopfield model. Discover quantitative estimates of metastability in large volumes at fixed temperatures when these systems evolve according to Glauber dynamics. Examine conditions that ensure the system behaves like its counterpart with averaged random couplings, and learn about the asymptotic tail behavior and moments of metastable hitting times. Gain insights into how this research extends known results for the Ising model on Erdos-Renyi random graphs. Understand the application of the potential-theoretic approach to metastability combined with concentration inequalities. Access this recording from the "Analysis and simulations of metastable systems" thematic meeting at the Centre International de Rencontres Mathématiques, complete with chapter markers, keywords, abstracts, bibliographies, and Mathematics Subject Classification for enhanced viewing and research capabilities.

Syllabus

Elena Pulvirenti: Metastability of Glauber dynamics with inhomogeneous coupling disorder


Taught by

Centre International de Rencontres Mathématiques

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